What is the Least Common Multiple of 26327 and 26347?
Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.
Least common multiple (LCM) of 26327 and 26347 is 693637469.
LCM(26327,26347) = 693637469
Least Common Multiple of 26327 and 26347 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26327 and 26347, than apply into the LCM equation.
GCF(26327,26347) = 1
LCM(26327,26347) = ( 26327 × 26347) / 1
LCM(26327,26347) = 693637469 / 1
LCM(26327,26347) = 693637469
Least Common Multiple (LCM) of 26327 and 26347 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 26327 and 26347. First we will calculate the prime factors of 26327 and 26347.
Prime Factorization of 26327
Prime factors of 26327 are 7, 3761. Prime factorization of 26327 in exponential form is:
26327 = 71 × 37611
Prime Factorization of 26347
Prime factors of 26347 are 26347. Prime factorization of 26347 in exponential form is:
26347 = 263471
Now multiplying the highest exponent prime factors to calculate the LCM of 26327 and 26347.
LCM(26327,26347) = 71 × 37611 × 263471
LCM(26327,26347) = 693637469
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